Stiffness = more sensitivity. I've tested the PS2 Dual Shock, Xbox 360 and Dreamcast pads in various PC games using Pinnacle Game Profiler. The Dreamcast Analog stick and triggers always win in sensitivity and general lack of dead zone. The PS2 and Xbox 360 pads area minimum of 10% dead zone in the middle. That lack of resistance your thumbs have been trained to like makes that first 10% completely useless.

